Question:
Choose the correct statement(s) from the following with respect to a ship-generated Kelvin wave pattern in deep water.
Choose the correct statement(s) from the following with respect to a ship-generated Kelvin wave pattern in deep water.
Show Hint
Kelvin wave patterns are a result of a ship's motion through water. These patterns consist of both transverse and divergent waves, and the waves spread in a sector behind the ship with decreasing amplitude.
Updated On: Apr 25, 2025
- A system of transverse waves and divergent waves are observed behind the ship.
- A system of transverse waves and divergent waves are observed in front of the ship.
- The waves are contained in a sector originating at the bow with a half angle of \( 9^\circ 28' \).
- The amplitude of wave components decreases as they propagate.
Show Solution
Verified By Collegedunia
The Correct Option is A, D
Solution and Explanation
A ship moving through water creates a characteristic wave pattern known as the Kelvin wave pattern. This pattern is composed of two components: transverse waves and divergent waves, both of which are observed behind the ship.
Detailed explanation of the statements:
(A) Correct: Behind the ship, both transverse waves and divergent waves are formed. These are the fundamental components of the Kelvin wave pattern, which propagates in a fan-like pattern from the ship’s wake.
(B) Incorrect: The wave pattern is not formed in front of the ship. Instead, the waves are generated behind the ship due to its motion through the water.
(C) Incorrect: The Kelvin wave pattern is not confined to the sector originating at the bow. The sector angle is typically approximately \( 19^\circ \), not \( 9^\circ 28' \).
(D) Correct: As the Kelvin waves propagate outward from the ship, their amplitude decreases over distance. This is due to the spreading of energy as the waves travel through the water.
Conclusion: The correct statements are (A) and (D).
Detailed explanation of the statements:
(A) Correct: Behind the ship, both transverse waves and divergent waves are formed. These are the fundamental components of the Kelvin wave pattern, which propagates in a fan-like pattern from the ship’s wake.
(B) Incorrect: The wave pattern is not formed in front of the ship. Instead, the waves are generated behind the ship due to its motion through the water.
(C) Incorrect: The Kelvin wave pattern is not confined to the sector originating at the bow. The sector angle is typically approximately \( 19^\circ \), not \( 9^\circ 28' \).
(D) Correct: As the Kelvin waves propagate outward from the ship, their amplitude decreases over distance. This is due to the spreading of energy as the waves travel through the water.
Conclusion: The correct statements are (A) and (D).
Was this answer helpful?
0
0
Top GATE NM Fluid Mechanics and Marine Hydrodynamics Questions
- The sum of the static pressure and dynamic pressure at a point in a fluid flow is called the ________.
- Identify the range of Reynolds number (Re) for a creeping flow.
- The ratio of the magnitudes of vorticity to rate of rotation in a fluid flow is ________.
- In a laminar boundary layer, the ratio of boundary layer thickness (\( \delta \)) to the corresponding displacement thickness (\( \delta^* \)) lies between ________.
- Which one of the following wave energy spectra is formulated for two peaks?
View More Questions
Top GATE NM Wave Motion Questions
- Which one of the following wave energy spectra is formulated for two peaks?
- According to linear water wave theory, at a point on the free surface of a regular wave, the phase difference between the free surface elevation and the horizontal water particle acceleration is ________.
- An ocean wave is propagating from deep to shallow water. The wave is approaching the coast at \( 45^\circ \) counterclockwise from the shore normal with an initial phase speed of \( 12.5 \, {m/s} \). After entering the shallow water, the wave direction becomes \( 30^\circ \) counterclockwise from the shore normal. The phase speed of the wave at the shallow water is ________ m/s (rounded off to one decimal place).
- An ocean wave is propagating from deep to shallow water. The wave is approaching the coast at \( 45^\circ \) counterclockwise from the shore normal with an initial phase speed of \( 12.5 \, {m/s} \). After entering the shallow water, the wave direction becomes \( 30^\circ \) counterclockwise from the shore normal. The phase speed of the wave at the shallow water is ________ m/s (rounded off to one decimal place).
Top GATE NM Questions
- If \( \rightarrow \) denotes increasing order of intensity, then the meaning of the words [dry \( \rightarrow \) arid \( \rightarrow \) parched] is analogous to [diet \( \rightarrow \) fast \( \rightarrow \) \(\_\_\_\_\_\_\_\_\)]. Which one of the given options is appropriate to fill the blank?
- If two distinct non-zero real variables \( x \) and \( y \) are such that \( (x + y) \) is proportional to \( (x - y) \), then the value of \( \frac{x}{y} \) is:
- Consider the following sample of numbers: \[ 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 \] The median of the sample is:
- The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is:
- For positive non-zero real variables \( p \) and \( q \), if \[ \log \left( p^2 + q^2 \right) = \log p + \log q + 2 \log 3, \] then the value of \( \frac{p^4 + q^4}{p^2 q^2} \) is:
View More Questions